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Finding the Third Proportional to 249,372 and 376,677

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Solution

The third proportional to 249,372 and 376,677 is: 568,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,372 : 376,677 = 376,677 : x
  2. Step 2: Convert to fraction form
    249,372/376,677 = 376,677/x
  3. Step 3: Cross multiply
    249,372x = 376,677 × 376,677
  4. Step 4: Simplify right side
    249,372x = 141,885,562,329
  5. Step 5: Solve for x
    x = 141,885,562,329/249,372
  6. Step 6: Final answer
    x = 568,971.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.